2026 AMC 8 Problem 10
Attempt Problem 10 of the 2026 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2026 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
Five runners completed the grueling Xmarathon: Luke, Melina, Nico, Olympia, and Pedro.
• Nico finished minutes behind Pedro.
• Olympia finished minutes ahead of Melina, but minutes behind Pedro.
• Olympia finished minutes ahead of Luke.
Which runner finished fourth?
Luke
Melina
Nico
Olympia
Pedro
Answer: A
Small hint:
Measure all finish times relative to Pedro
Big hint:
Olympia is minutes behind Pedro; Melina and Luke are after Olympia
Video solution:
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Written solution:
Measure finish times in minutes after Pedro. Then Pedro is at , Olympia is at , Melina is at , Luke is at , and Nico is at . The fourth finisher is Luke.
Problem 10 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
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- 1998 AMC 8
- 1999 AMC 8
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- 2025 AMC 8